A generalization of Jentzsch's theorem

DOI10.1134/S0001434610110106zbMath1246.30014MaRDI QIDQ650338

Elena A. Lebedeva

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier seriespolynomialHurwitz theoremBernstein polynomialLaurent seriesVitali's theoremCauchy boundJentzsch's theorem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Unnamed Item
• On asymptotic properties of interpolation polynomials
• Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets.

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